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5 ( five ) is a , , and . It is the following 4 and preceding 6.

In mathematics
Five is the third . Because it can be written as , five is classified as a ; therefore a with 5 sides (a regular ) is constructible with compass and unmarked straightedge. 5 is the third Sophie Germain prime, the first , the third , and the third exponent. Five is the first and the third , also an alternating factorial. Five is the first . It is an with no imaginary part and real part of the form . It is also the only number that is part of more than one pair of . Five is a .

Five is conjectured to be the only odd untouchable number and if this is the case then five will be the only odd prime number that is not the base of an aliquot tree.

Five is also the only prime that is the sum of two consecutive primes, namely 2 and 3.

The number 5 is the fifth , being plus . 5 is also a and a , appearing in solutions to the Markov Diophantine equation: (1, 2, 5), (1, 5, 13), (2, 5, 29), (5, 13, 194), (5, 29, 433), ... ( lists Markov numbers that appear in solutions where one of the other two terms is 5). Whereas 5 is unique in the Fibonacci sequence, in the Perrin sequence 5 is both the fifth and sixth .

5 is the length of the of the smallest integer-sided right triangle.

In bases 10 and 20, 5 is a 1-automorphic number.

Five is the second Sierpinski number of the first kind, and can be written as S2 = (22) + 1.

While equations of degree and below can be solved with radicals, equations of degree 5 and higher cannot generally be so solved. This is the Abel–Ruffini theorem. This is related to the fact that the S n is a for and not solvable for .

While all with 4 or fewer vertices are , there exists a graph with 5 vertices which is not planar: K5, the with 5 vertices.

There are five .Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 61

A with five sides is a . representing pentagons (including five) are called pentagonal numbers. Five is also a square pyramidal number.

Five is the only prime number to end in the digit 5 because all other numbers written with a 5 in the ones place under the decimal system are multiples of five. As a consequence of this, 5 is in base 10 a 1-automorphic number.

Vulgar fractions with 5 or in the denominator do not yield infinite expansions, unlike expansions with all other prime denominators, because they are prime factors of ten, the base. When written in the decimal system, all multiples of 5 will end in either 5 or .

There are five Exceptional Lie groups.

List of basic calculations
5 × x5101520253035404550 !556065707580859095100

5 ÷ x52.51.1.2510.80.0.6250.0.5 !0.0.410.0.30.
x ÷ 50.20.40.60.811.21.41.61.82 !2.22.42.62.83

55251256253125156257812539062519531259765625 !488281252441406251220703125610351562530517578125
x132243102431257776168073276859049100000 !161051248832371293537824759375

In the powers of 5, every power ends with the number five and from 53, if the exponent is odd, then the hundreds digit is 1; instead, if it is even, the hundreds digit is 6.

Evolution of the glyph
The evolution of the modern Western for the numeral 5 cannot be traced back to the Indian system as for the numbers 1 to 4. The and empires in what is now had among themselves several different glyphs which bear no resemblance to the modern glyph. The and took these glyphs and all came up with glyphs that are similar to a lowercase "h" rotated 180°. The Ghubar Arabs transformed the glyph in several different ways, producing glyphs that were more similar to the numbers 4 or 3 than to the number 5.Georges Ifrah, The Universal History of Numbers: From Prehistory to the Invention of the Computer transl. David Bellos et al. London: The (1998): 394, Fig. 24.65

It was from those characters that Europeans finally came up with the modern 5, though from purely graphical evidence, it would be much easier to conclude that the modern symbol came from the . The Khmer glyph develops from the Kushana/Ândhra/Gupta numeral, its shape looking like the modern version with an extended swirled "tail".

(1998). 9781860463242, Harvill Press.

While the shape of the 5 character has an ascender in most modern , in typefaces with the character usually has a , as, for example, in .

Science
• The of .
• The number of appendages on most , which exhibit pentamerism.
• The most destructive known rate as Category 5 on the Saffir–Simpson hurricane wind scale.
• The most destructive known rate an F-5 on the or EF-5 on the Enhanced Fujita scale.

Astronomy
• M5, a magnitude 7.0 in the constellation .
• The New General Catalogue object NGC 5, a magnitude 13 in the Andromeda.
• The Roman numeral V stands for dwarfs ( stars) in the Yerkes spectral classification scheme.
• The Roman numeral V (usually) stands for the fifth-discovered satellite of a planet or minor planet (e.g. Jupiter V).
• There are five in a two-body system.

Biology
• Perception is conceived to occur through .
• Almost all amphibians, reptiles, and mammals which have fingers or toes have five of them on each extremity.

Computing
• 5 is the code of the Enquiry character, which is abbreviated to ENQ.

Religion and culture

Hinduism
• The god Shiva has five faces and his Mantra is also called Panchakshari (Five Worded) mantra.
• The goddess Saraswati, goddess of knowledge and intellectual is associated with Panchami or number 5.
• There are five elements in this universe: Dharti, Agni, Jal, Vayu evam Akash (Earth, Fire, Water, Air and Space respectively).
• The most sacred tree in Hinduism has 5 leaves in every leaf stunt.
• Most of the flowers have 5 petals in them.

Christian

Discordianism
• In , 5 is seen as a very important number. This is demonstrated in the Law of Fives, as well as in the Pentabarf, which contains five rules.
• Each page of the Principia Discordia—the primary religious document in Discordianism—is labeled with five digits.

Islamic
• The Five Pillars of Islam
• pray to five times a day
• In Islam, particularly , the or the Five Holy Purified Ones are the members of 's family: , , , Hasan, and Husayn and is often symbolically represented by an image of the Khamsa.

Jewish
• The contains five books—Genesis, Exodus, Leviticus, Numbers, and Deuteronomy—which are collectively called the Five Books of , the Pentateuch ( for "five containers", referring to the scroll cases in which the books were kept), or Humash (חומש, for "fifth").
• The book of is arranged into five books, paralleling the Five Books of Moses.
• The , an ancient symbol shaped like a hand with four fingers and one thumb, is used as a protective amulet by ; that same symbol is also very popular in culture, known to protect from envy and the .

Sikh
• The five sacred symbols prescribed by Guru Gobind Singh are commonly known as panj kakars or the "Five Ks" because they start with letter K representing kakka (ਕ) in the 's . They are: kesh (unshorn hair), kangha (the comb), kara (the steel bracelet), kachhehra (the soldiers shorts), and kirpan (the sword) (in Gurmukhi: ਕੇਸ, ਕੰਘਾ, ਕੜਾ, ਕਛਹਰਾ, ਕਿਰਪਾਨ). Also, there are five deadly evils: kam (lust), krodh (anger), moh (attachment), lobh (greed), and (ego).

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Other religions and cultures
• According to ancient Greek philosophers such as , the universe is made up of five classical elements: water, earth, air, fire, and ether. This concept was later adopted by Medieval and more recently by practitioners of religions such as .
• The , or five-pointed star, bears religious significance in various faiths including Baha'i, , , , , , and .
• In , "five" sounds like the word "not" (character: 唔). When five appears in front of a lucky number, e.g. "58", the result is considered unlucky.
• In tradition, there are : (water, fire, earth, wood, and metal). The Japanese names for the , Tuesday through , come from these elements via the identification of the elements with the . Also, the traditional Japanese calendar has a five-day weekly cycle that can be still observed in printed mixed calendars combining Western, Chinese-Buddhist, and Japanese names for each weekday.
• Members of The Nation of Gods and Earths, a primarily African American religious organization, call themselves the "Five-Percenters" because they believe that only 5% of mankind is truly enlightened.

Art, entertainment, and media

Events
• November 5 is now known as Guy Fawkes Night or Bonfire Night in the UK.

Fictional entities
• James the Red Engine, a fictional character numbered 5.
• Johnny 5 is the lead character in the film Short Circuit (1986)
• Number Five is a character in
• Sankara Stones, five magical rocks in Indiana Jones and the Temple of Doom that are sought by the Thuggees for evil purposes
• The Mach Five ( Mahha-gō?), the racing car Speed Racer (Go Mifune in the Japanese version) drives in the anime series of the same name (known as "Mach Go! Go! Go!" in Japan)
• In the works of J. R. R. Tolkien, five wizards (, , , ) are sent to Middle-earth to aid against the threat of the Dark Lord Sauron
• In the A Song of Ice and Fire series, the War of the Five Kings is fought between different claimants to the Iron Throne of Westeros, as well to the thrones of the individual regions of Westeros (Joffrey Baratheon, Stannis Baratheon, , and )

Films
• Towards the end of the film Monty Python and the Holy Grail (1975), the character of repeatedly confuses the number five with the number three.
• Five Go Mad in Dorset (1982) was the first of the long-running series of Comic Strip Presents... television comedy films
• The Fifth Element (1997), a science fiction film
• (2011), the fifth installment of the Fast and Furious film series.
• V for Vendetta (2005), produced by Warner Bros., directed by , and adapted from 's graphic novel V for Vendetta prominently features number 5 and Roman Numeral V; the story is based on the historical event in which a group of men attempted to destroy Parliament on November 5, 1605

Music

Groups
• Five (band), a UK Boy band
• The Five (composers), 19th-century Russian composers
• 5 Seconds of Summer, pop band that originated in Sydney, Australia
• , American rock band active 1965–1969
• Five Finger Death Punch, American heavy metal band from Las Vegas, Nevada. Active 2005–present
• Five Man Electrical Band, Canadian rock group billed (and active) as the Five Man Electrical Band, 1969–1975
• Maroon 5, American pop rock band that originated in Los Angeles, California
• MC5, American punk rock band
• , a Grammy-winning a cappella group originated in Arlington, Texas
• The 5th Dimension, American pop vocal group, active 1977–present
• The Dave Clark Five, a.k.a. DC5, an English pop rock group comprising Dave Clark, , , , and Mike Smith; active 1958–1970
• The Jackson 5, American pop rock group featuring various members of the Jackson family; they were billed (and active) as The Jackson 5, 1966–1975
• : American folk rock group active 1965–1967 and 1968–1977
• Grandmaster Flash and the Furious Five: American rap group, 1970–80's
• , an American .
• Ben Folds Five, an American alternative rock trio, 1993–2000, 2008 and 2011–2013

Other uses
• A is the most consonant harmony, and is the basis for most western tuning systems.
• Modern musical notation uses a musical staff made of five horizontal lines.
• In – the fifth partial (or 4th ) of a fundamental has a frequency ratio of 5:1 to the frequency of that fundamental. This ratio corresponds to the interval of 2 octaves plus a pure major third. Thus, the interval of 5:4 is the interval of the pure third. A major triad chord when played in (most often the case in vocal ensemble singing), will contain such a pure major third.
• The number of completed, numbered piano concertos of Ludwig van Beethoven, , and Camille Saint-Saëns.
• Using the Latin root, five musicians are called a quintet.
• A scale with five notes per octave is called a .
• Five is the lowest possible number that can be the top number of a with an asymmetric meter.

Television
Stations
• Channel 5 (UK), a television channel that broadcasts in the United Kingdom
• TV5 (Philippines) ( former TV station ABC 5) ( channel 5 In Metro Manila) a television network in the Philippines.

Series
• Babylon 5, a science fiction television series
• The number 5 features in the television series Battlestar Galactica in regards to the Final Five cylons and the Temple of Five
• Hi-5 (Australian TV series), a television series from Australia
• Hi-5 (UK TV series), a television show from the United Kingdom
• Hi-5 Philippines a television show from the Philippines
• Odyssey 5, a 2002 science fiction television series
• Tillbaka till Vintergatan, a Swedish children's television series featuring a character named "Femman" (meaning five), only can utter the word 'five'.
• The Five (talk show): Fox News Channel roundtable current events television show, premiered 2011. So named for its panel of five commentators.
• Yes! PreCure 5 is a 2007 anime series which follows the adventures of Nozomi and her friends. It is also followed by the 2008 sequel Yes! Pretty Cure 5 GoGo!

Literature
• The Famous Five is a series of children's books by British writer Enid Blyton
• The Power of Five is a series of children's books by British writer and screenwriter Anthony Horowitz
• The Fall of Five is a book written under the collective pseudonym Pittacus Lore in the series Lorien Legacies
• The Book of Five Rings is a text on kenjutsu and the martial arts in general, written by the swordsman Miyamoto Musashi circa 1645
• Slaughterhouse-Five is a book by Kurt Vonnegut about World War II

Sports
• The have five interlocked rings as their symbol, representing the number of inhabited represented by the Olympians (Europe, Asia, Africa, Australia and Oceania, and the Americas).
• In baseball scorekeeping, the number 5 represents the 's position.
• In :
• The number 5 is used to represent the position of center.
• Each team has five players on the court at a given time. Thus, the phrase "five on five" is commonly used to describe standard competitive basketball.
• The "5-second rule" refers to several related rules designed to promote continuous play. In all cases, violation of the rule results in a turnover.
• Five-a-side football is a variation of association football in which each team fields five players.
• In , a major penalty lasts five minutes.
• In , there are five different ways that a player can score a goal (teams at even strength, team on the power play, team playing shorthanded, penalty shot, and empty net).
• In , the area between the goaltender's legs is known as the .
• In most , the starting left wing wears this number. An exception is the European , which uses static squad numbering.
• In , the starting lock forward wears number 5, and usually jumps at number 4 in the line-out.

Technology
• 5 is the most common number of gears for automobiles with manual transmission.
• In radio communication, the term "Five by five" is used to indicate perfect signal strength and clarity.
• On almost all devices with a such as telephones, computers, etc., the 5 key has a raised dot or raised bar to make dialing easier. Persons who are blind or have low vision find it useful to be able to feel the keys of a telephone. All other numbers can be found with their relative position around the 5 button (on computer keyboards, the 5 key of the has the raised dot or bar, but the 5 key that shifts with % does not).
• On most , the 5 key is associated with the letters J, K, and L, but on some of the phones, it is the key for G and H.
• The , coined by Intel Corporation, is a fifth-generation x86 architecture .
• The resin identification code used in recycling to identify .
• A is an oligomer composed of five subunits.

Miscellaneous fields
Five can refer to:
• "Give me five" is a common phrase used preceding a .
• An informal term for the British Security Service, MI5.
• Five babies born at one time are . The most famous set of quintuplets were the Dionne quintuplets born in the 1930s.
• In the United States legal system, the Fifth Amendment to the United States Constitution can be referred to in court as "pleading the fifth", absolving the defendant from self-incrimination.
• Pentameter is verse with five repeating feet per line; iambic pentameter was the most popular form in Shakespeare.
• Quintessence, meaning "fifth element", refers to the elusive fifth element that completes the basic four elements (water, fire, air, and earth)
• The designation of an Interstate Highway (Interstate 5) that runs from , to Blaine, Washington. In addition, all major north-south Interstate Highways in the United States end in 5.
• The five basic are , salty, sour, bitter, and .
• In the computer game , 5 is considered a holy number, and is a recurring theme throughout the game, appearing in hundreds of places, from the number of islands in the game to the number of bolts on pieces of machinery.
• The Garden of Cyrus (1658) by Sir is a Pythagorean discourse based upon the number 5.
• The holy number of , as dictated by the Law of Fives.
• The number of Justices on the Supreme Court of the United States necessary to render a majority decision.
• The number of dots in a .
• The number of permanent members with veto power on the United Nations Security Council.
• The number of sides and the number of angles in a .
• The number of points in a .
• The number of when measuring
• The drink is named for its five ingredients. The drink punch derives its name after the Sanskrit पञ्च (pañc) for having five ingredients.
• The were five United States Senators accused of corruption in 1989.
• The : Merryman, Awkwardman, The Blimp, White Feather, and Dumb Bunny. parody superhero team.
• No. 5 is the name of the iconic fragrance created by .
• The Committee of Five was delegated to draft the Declaration of Independence.
• The 5th U.S. President was .
• The is a commonly used rule of thumb for dropped .
• 555 95472, usually referred to simply as 5, is a minor male character in the comic strip Peanuts.
• Number Five/#00.05 is a character from the comic book series The Umbrella Academy

See also

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 58–67

External links

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